remote sensing

Article Spring Frost Damage to Tea Can Be Identified with Daily Minimum Air Temperatures Estimated by MODIS Land Surface Temperature Products

Peijuan Wang 1,*, Yuping Ma 1 , Junxian Tang 1, Dingrong Wu 1 , Hui Chen 2, Zhifeng Jin 3 and Zhiguo Huo 1,4

1 State Key Laboratory of Severe Weather, Chinese Academy of Meteorological Sciences, Beijing 100081, ; [email protected] (Y.M.); [email protected] (J.T.); [email protected] (D.W.); [email protected] (Z.H.) 2 Fujian Institute of Meteorological Science, Fuzhou 350001, China; [email protected] 3 Zhejiang Climate Center, Hangzhou 310017, China; [email protected] 4 Collaborative Innovation Center of Meteorological Disaster Forecast, Early-Warning and Assessment, Nanjing University of Information Science & Technology, Nanjing 210044, China * Correspondence: [email protected]

Abstract: Tea (Camellia sinensis) is one of the most dominant economic plants in China and plays an important role in agricultural economic benefits. Spring tea is the most popular drink due to Chinese drinking habits. Although the global temperature is generally warming, spring frost damage (SFD) to tea plants still occurs from time to time, and severely restricts the production and quality of spring tea.

 Therefore, monitoring and evaluating the impact of SFD to tea plants in a timely and precise manner  is a significant and urgent task for scientists and tea producers in China. The region designated as

Citation: Wang, P.; Ma, Y.; Tang, J.; the Middle and Lower Reaches of the Yangtze River (MLRYR) in China is a major tea plantation area Wu, D.; Chen, H.; Jin, Z.; Huo, Z. producing small tea leaves and low . This region was selected to study SFD to tea plants using Spring Frost Damage to Tea Plants meteorological observations and remotely sensed products. Comparative analysis between minimum Can Be Identified with Daily air temperature (Tmin) and two MODIS nighttime land surface temperature (LST) products at six pixel- Minimum Air Temperatures window scales was used to determine the best suitable product and spatial scale. Results showed Estimated by MODIS Land Surface that the LST nighttime product derived from MYD11A1 data at the 3 × 3 pixel window resolution Temperature Products. Remote Sens. was the best proxy for daily minimum air temperature. A Tmin estimation model was established 2021, 13, 1177. https://doi.org/ using this dataset and digital elevation model (DEM) data, employing the standard lapse rate of 10.3390/rs13061177 air temperature with elevation. Model validation with 145,210 ground-based Tmin observations showed that the accuracy of estimated Tmin was acceptable with a relatively high coefficient of Academic Editor: Nicolas R. Dalezios determination (R2 = 0.841), low root mean square error (RMSE = 2.15 ◦C) and mean absolute error ◦ Received: 1 February 2021 (MAE = 1.66 C), and reasonable normalized RMSE (NRMSE = 25.4%) and Nash–Sutcliffe model Accepted: 14 March 2021 efficiency (EF = 0.12), with significantly improved consistency of LST and Tmin estimation. Based on Published: 19 March 2021 the Tmin estimation model, three major cooling episodes recorded in the “Yearbook of Meteorological Disasters in China” in spring 2006 were accurately identified, and several highlighted regions in Publisher’s Note: MDPI stays neutral the first two cooling episodes were also precisely captured. This study confirmed that estimating with regard to jurisdictional claims in Tmin based on MYD11A1 nighttime products and DEM is a useful method for monitoring and published maps and institutional affil- evaluating SFD to tea plants in the MLRYR. Furthermore, this method precisely identified the spatial iations. characteristics and distribution of SFD and will therefore be helpful for taking effective preventative measures to mitigate the economic losses resulting from frost damage.

Keywords: spring frost damage; MODIS LST product; minimum air temperature; tea plants; the Copyright: © 2021 by the authors. Middle and Lower Reaches of the Yangtze River Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons 1. Introduction Attribution (CC BY) license (https:// Tea (Camellia sinensis) is a species of evergreen shrubs or small trees in the creativecommons.org/licenses/by/ flowering plant family Theaceae whose leaves and leaf buds are used to produce tea 4.0/).

Remote Sens. 2021, 13, 1177. https://doi.org/10.3390/rs13061177 https://www.mdpi.com/journal/remotesensing Remote Sens. 2021, 13, 1177 2 of 22

drink. Tea, along with coffee (Coffea arabica L.) and cocoa (Theobroma cacao L.), has been used to make most of the traditional and popular caffeinated beverages [1] in the world. Differences in tea taste are determined by the degree of fermentation. There are seven classifications of tea, including black tea, white tea, yellow tea, green tea, oolong tea, dark tea, and reprocessing tea, based on how they are processed and how long the leaves are left on the before harvesting [2]. Tea plant originated in southeast China and was gradually introduced into many tropical and subtropical countries [3]. At present, more than 60 countries and regions around the world plant tea trees, mainly distributed in tropical and subtropical climate areas between 16◦S and 30◦N[4]. Some varieties also grow well in cooler climates and high altitude regions, such as the mild climate of the U.S. Pacific Northwest and the –Guizhou Plateau of southwestern China. The worldwide harvested tea area reached 3.56 × 106 ha in 2018 with a production of 5.11 × 109 kg [5]. Of all of the countries of the world, China harvested the greatest area (66.0% of the world total) and produced the greatest amount (51.4% of the world total) of tea, followed by India. These two countries accounted for 83.7% of the world tea harvested area and 77.8% of the world tea production [5]. The 18 provinces in China where planting of tea plants is concentrated are located in North China, Central China, South China, and Southwest China. Tea can be divided into four categories according to the harvest season: spring tea, summer tea, autumn tea, and winter tea. Spring tea is usually harvested from March to the middle of May. Compared with teas harvested in other seasons, the spring leaves are softer, the buds are plumper, the color is greener, the vitamins and amino acids are richer, and the flavor tastes more refreshing due to moderate temperatures and higher relative air humidity in spring [6,7]. Therefore, spring tea is an important segment of the tea market because of its high quality and the highest economic benefits for tea production all over the world. For example, the economic benefits of spring tea accounted for 87.5% of the total tea revenue in 2019 in Zhejiang Province in China [8]. According to climate model projections, the global average air temperature is likely to increase by 0.3–4.8 ◦C by the end of this century [9]. However, research in recent years has also revealed that the frequency, intensity, and duration of extreme low temperature events are also likely to continuously increase under 21st-century warming scenarios [10,11]. Additionally, the predicted spring frost risk correspondingly increases under future climate warming [12]. Frost damage can be divided into advection frost and radiation frost according to its formation mechanism [13]. An advection frost occurs when cold air blows into an area to replace warmer air that was present before the weather change. It is associated with moderate to strong winds and low humidity [13]. Radiation frosts occur because of heat losses in the form of radiant energy. Under clear nighttime skies, the soil surface loses more longwave radiation (heat) to the atmosphere than it receives [14], resulting in declining temperature. Radiation frosts are characterized by clear skies, calm winds, and temperature inversions [13]. During a radiation frost event, the ground and ambient air temperatures drop, and vegetation canopies experience temperatures that are 2–4 ◦C colder than the air temperature that is measured within a nearby standard Stevenson Screen thermometer enclosure. Spring frost is a catastrophic weather event that may cover a broad spatial region and is harmful to crops (winter wheat [15], winter sugar beet [16], potato [17]); orchards (apple [18], cherry [18], tea [19]); and forests (beech [20–22]), spruce [18]). Different methods of spring frost identification and quantification have been studied in recent years, and generally fall into two categories: one is the spring frost index based on air temperature (Ta) measured with sensors inside meteorological station shelters at a height of 2 m above the ground surface, and the other is spring frost identification based on the land surface temperature (LST) derived from satellite remote sensing imagery. Ground-based meteorological observations showed that when daily minimum air temperature is less than 4 ◦C in spring, newly formed tea buds were impacted by spring frost [23], and the commod- ity value of the tea declined correspondingly. Therefore, tea leaf damage grades have been Remote Sens. 2021, 13, 1177 3 of 22

quantified based on daily minimum air temperature and its duration [24]. Li et al. [25] and Jin et al. [26] further refined this frost damage indicator by using hourly temperature and its duration. Meteorological data generally has high accuracy, high temporal resolution, and long-term observation datasets, and has therefore been used in many applications with regards to spring frost, such as identifying spatiotemporal distribution characteristics [27], and assessing impact [28] and risk [29]. Nevertheless, observation of Ta is limited by weather station network layout, resulting in point samples that often cannot effectively reflect spatial variation, especially in certain areas where the distribution of meteorological stations is itself very sparse [30], and in areas where elevation changes drastically. Satellite remote sensing provides unprecedented global coverage of critical land sur- face parameters such as LST and vegetation indices. The Moderate Resolution Imaging Spectroradiometer (MODIS) onboard the Aqua and Terra satellites can provide such de- tailed information of land surface temperature at high temporal (daily or four times a day) and spatial (1 km or 250 m) resolution across the world [31]. Therefore, estimating Ta from LST has been a popular method because of the availability of LST products for regions with inadequate or inaccessible weather station networks [32]. Because solar radiation does not affect the thermal infrared signal during nighttime [31], the retrieval of minimum Ta (Tmin) from Aqua nighttime LST has been shown to be an effective method with a good relationship between nighttime LST and Tmin over different ecosystems in Africa [31,33], the U.S. Corn Belt [34], and xerophytic vegetation areas [29] and alpine meadows [35] on the northern Tibetan Plateau in Asia. Despite recent progress in the use of satellite imagery, major limitations caused by cloud contamination remain [36] because LST products are unavailable when clouds exist during satellite overpassing times. Cloud contamination, therefore, has strong impacts on the availability and the quality of LST products [37]. Methods regarding LST recon- struction for cloudy regions, including the Harmonic Analysis of Time Series (HANTS) algorithm [38], Remotely Sensed DAily land Surface Temperature reconstruction (RSDAST) model [39], Bayesian Maximum Entropy (BME) method [40], and Random Forest (RF) regression approach [41], have been investigated by considering neighboring pixels and nearby dates based on normalized difference vegetation index, enhanced vegetation in- dex, normalized difference water index, solar radiation factor, albedo, elevation, slope, longitude, and latitude. Results showed that all methods for reconstructing LSTs for cloud- covered regions were highly accurate compared with original LST pixels and produced spatial and temporal patterns of LST that were consistent with neighboring clear-sky ar- eas [39,41]. Nevertheless, deviations between nighttime LST and Tmin values still exist due to the difference between satellite overpass time when LST is obtained and sunrise (generally the time of Tmin). The main objective of this study was to study spring frost damage (SFD) to tea plants over the MLRYR in China at high temporal (daily) and spatial (1 km) resolutions. To reach this goal, we firstly introduced the study area and data in Section2. Secondly, a simple regression model to estimate daily Tmin from reconstructed MODIS LST values was established by considering the terrain effects in methodology section. Next, values of MODIS nighttime reconstructed LST and Tmin were compared, and the performance of the regression model was evaluated in Sections 4.1–4.3. Then, several typical frost damage periods were identified and analyzed by using daily Tmin at the high-spatial resolution produced by the simple regression model. Additionally, the spatial distribution of different SFD levels for tea plants were mapped at 1 km resolution for selected typical SFD periods over the MLRYR in China (Section 4.4). Finally, some limitations were discussed, and the conclusion was summarized at the end of this paper.

2. Study Area and Data 2.1. Study Area The MLRYR is located from 24◦ to 35◦N latitude and from 109◦ to 122◦E longitude. It covers six provinces (Jiangsu, Zhejiang, Anhui, Jiangxi, Hubei, and Hunan) and Shanghai Remote Sens. 2021, 13, x FOR PEER REVIEW 4 of 23

The MLRYR is located from 24° to 35°N latitude and from 109° to 122°E longitude. It covers six provinces (Jiangsu, Zhejiang, Anhui, Jiangxi, Hubei, and Hunan) and Shanghai municipality, with a total area of 1.01 × 106 km2, accounting for 10.48% of China’s total land area (Figure 1). The climate of MLRYR is affected by the difference in thermal prop- erties between land and sea and is therefore under the influence of a subtropical monsoon climate with hot and rainy summers, and cool and dry winters. The average annual tem- perature is 14–20 °C, and the annual precipitation is about 1000–1400 mm [42]. The sea- Remote Sens. 2021, 13, 1177 sonal distribution of precipitation is relatively even, but summer droughts occur occasion-4 of 22 ally. The terrain of the MLRYR is relatively low and flat, with an elevation being below 50 m above sea level in most areas. The low mountains and hills scattered in the west and municipality, with a total area of 1.01 × 106 km2, accounting for 10.48% of China’s total land south, and the elevations were between 200 and 1000 m (Figure 1b). The vegetation cov- area (Figure1). The climate of MLRYR is affected by the difference in thermal properties erage is high in the MLRYR, and includes forest, grass, crop, and shrub (Figure 1c). The between land and sea and is therefore under the influence of a subtropical monsoon climate withtea plants hot and are rainy one of summers, the majority and types cool and of shrubs, dry winters. which Thedistributed average mainly annual in temperature low moun- istains 14–20 and◦ hillsC, and with the the annual elevation precipitation being below is about1000 m. 1000–1400 mm [42]. The seasonal distribution of precipitation is relatively even, but summer droughts occur occasionally.

Figure 1. a b Figure 1.Study Study area area ( (),a), meteorological meteorological stations, stations, digital digital elevation elevation model model (DEM) (DEM) ( ), ( andb), and land land cover cover types types in the in middle the middle and lowerand lower reaches reaches of the of Yangtze the Yangtze River River region, region, China China (c). (c). The terrain of the MLRYR is relatively low and flat, with an elevation being below 2.2. Data 50 m above sea level in most areas. The low mountains and hills scattered in the west and2.2.1. south, Meteorological and the elevations Data were between 200 and 1000 m (Figure1b). The vegetation coverageDaily is Tmin high inat the163 MLRYR, meteorological and includes stations forest,from March grass, crop, to April and in shrub 2003– (Figure2018 in1 c). the TheMLRYR tea plants were are oneobtained of the majority from ground types of shrubs, meteorological which distributed stations mainly (available in low at mountainshttp://data.cma.cn/site/index.html and hills with the elevation. Last visited being below on 17 March 1000 m. 2021) and measured in line with World Meteorological Organization (WMO) standards at 2 m above the ground (Figure 1). All 2.2. Data 2.2.1. Meteorological Data

Daily Tmin at 163 meteorological stations from March to April in 2003–2018 in the MLRYR were obtained from ground meteorological stations (available at http://data.cma. cn/site/index.html. Last visited on 17 March 2021) and measured in line with World Meteo- rological Organization (WMO) standards at 2 m above the ground (Figure1). All data were quality checked, and there were not any missing temperature records in this study area.

2.2.2. MODIS Products (1) MODIS LST products Remote Sens. 2021, 13, 1177 5 of 22

Because of the good relationship between MODIS nighttime LST and Tmin values reported in previous research, daily MODIS nighttime LST products (MOD11A1 and MYD11A1) on board the Terra and Aqua satellites (version 6) at 1 km spatial resolution in a 1200 by 1200 km grid were downloaded via the Earth Observing System Data and Information System (EOSDIS) of the National Aeronautics and Space Administration (NASA) (https://earthdata.nasa.gov/. Last visited on 17 March 2021). The orbit of Terra around the Earth passes from north to south at about 10:30 a.m. and p.m. local solar time, while Aqua passes in the opposite direction from south to north at about 1:30 p.m. and a.m. every day. MODIS LST products are retrieved from the MODIS thermal and middle infrared spectral regions using the generalized split window algorithm [43] that corrects for atmospheric effects. The LST products of four tiles (h27v05, h28v05, h27v06, and h28v06) from 2003 to 2018 were re-projected to Albers Conical Equal Area (ACEA) projection, and then merged, resized, and mosaicked to get the dataset that was exactly consistent with the study area on each day during the study period. (2) MODIS Land Cover Type products The MODIS Land Cover Type product (MCD12Q1) supplies global maps of land cover at annual time steps and 500 m spatial resolution for 2001–present [44]. The product con- tains five legacy classification schemes, including IGBP (International Geosphere-Biosphere Programme), UMD (University of ), LAI (Leaf Area Index), BGC (BIOME- Biogeochemical Cycles), and PFT (Plant Functional Types). PFTs reduce the complexity of species diversity in ecological function to a few key plant types. Shrub, defined as a woody plant with more than 10% coverage rate and 1–2 m height, was extracted to identify the tea planting area in the MLRYR (Figure1).

2.2.3. Digital Elevation Data Digital elevation data were obtained from the Advanced Spaceborne Thermal Emis- sion and Reflection Radiometer (ASTER) global digital elevation model V3 [45]. Digital ele- vation data with 30 m spatial resolution was stored in a raster file. To aggregate up to the MODIS LST resolution, the mean elevation value inside each of the 1-km grid cells was calculated. Meanwhile, elevation values within 3 × 3, 5 × 5, 7 × 7, 9 × 9, and 11 × 11 grid cells at 1-km resolution were aggregated up to get six DEM images at the 3-km, 5-km, 7-km, 9-km, and 11-km resolutions, respectively.

2.2.4. Historical Disaster Records Historical spring frost disaster records for tea plants were acquired from the “Year- book of Meteorological Disasters in China” (from 2004 to 2017). The records described the onset date, duration, and location of spring frost events. For example, the “Yearbook of Meteorological Disasters in China” (2007) [46] recorded the following: “From March 11 to 13, Jiangxi province generally experienced a strong cold wave weather process with strong winds, cooling, and snowfall as the main characteristics in 2006. The affected area of crops was 119,000 hectares, and the direct economic loss in agriculture was RMB 100 mil- lion. From March 27 to 28, the maximum temperature dropped in most parts of Jiangsu Province, and the maximum dropping range reached about 10 ◦C in 2006. On 12 April 2006, affected by the cold air moving eastward from the north to the south, the temperature in most parts of Jiangsu Province dropped by 8–11 ◦C within 48 h.”

3. Methodology 3.1. Reconstruction for MODIS LST A clear sky MODIS LST reconstruction method (RSDAST) [39], was used in this study. RSDAST was developed based on the assumption that differences in LST between nearby pixels are relatively stable during a short time period [39]. Unlike other temperature reconstruction methods, RSDAST requires only one parameter (the MODIS LST product itself). Reconstructed LST values have shown accuracy in flat areas with the coefficient of determination (R2) of 0.72–0.89, bias of −0.02–0.21 K, and root mean square error (RMSE) Remote Sens. 2021, 13, 1177 6 of 22

of 0.92–1.16 K, while in complicated terrain regions of mountain areas, with an elevation range from 50 to 5000 m [39], the statistical values were R2 of 0.81–0.89, bias of −0.35 to −1.52 K, and RMSE of 1.42–2.24 K in Northwest China. The terrain of this study area is not so complicated, and includes plains, hills, and mountain regions, with an elevation range from 0 to 3000 m. Therefore, RSDAST was suitable for this study area to reconstruct gap-filled MODIS LST pixels.

3.2. Comparison between MODIS LST and Tmin at Meteorological Stations Daily MODIS nighttime reconstructed LST values (MOD11A1_night and MYD11A1_night) were compared with daily Tmin observations at ground meteorological stations from 2003 to 2018. In order to make the comparison, MOD11A1_night and MYD11A1_night recon- structed values were first extracted for the pixels in which the ground meteorological stations were located. Additionally, the values of MOD11A1_night and MYD11A1_night reconstructed LST in 3 × 3, 5 × 5, 7 × 7, 9 × 9, and 11 × 11 pixel-windows centered on each meteorological pixel point were extracted, and the average LST values were calculated. The correlations between MODIS reconstructed LST values at each of the six window-scales and the Tmin values were compared by analyzing the bivariate correlations. Three statistical parameters, including R2, RMSE, and mean absolute error (MAE), were determined be- tween Tmin and average reconstructed LST values for two MODIS nighttime products and six window scales. The most suitable MODIS LST product and window scale were selected by choosing the ones that produced the maximum R2 and minimum MAE and RMSE.

3.3. Estimation and Validation of Tmin In the first layer of the atmosphere (the troposphere, approximately from sea level to 12 km upward), air temperatures drop steadily by an average of 6.5 degrees Celsius per one thousand meters (https://sciencing.com/info-8179549-happens-temperature-altitude- increases.html. Updated on 31 May 2019. Last visited on 31 August 2020) (the adiabatic lapse rate). Therefore, a Tmin estimation model based on MODIS LST and DEM was established according to the following three processes: (i) Tmin at the local elevation was first converted to sea level temperature using the standard lapse rate for air temperature; (ii) the regression model of Tmin at sea level was then built according to the average MODIS LST within the best window scale; (iii) finally, the Tmin at the local elevation was re-calculated based again on the standard lapse rate of air temperature. The specific expressions were as follows, and the pipeline and Tmin estimation method were also shown in Figure2: DEM T = T − 6.5 × (1) min,0 min,d 1000 0 Tmin,0 = a × LST + b (2) DEM T 0 = T 0 + 6.5 × (3) min,d min,0 1000 0 ◦ where Tmin,d and Tmin,d are the observed and estimated minimum air temperatures ( C) at 0 local elevation, respectively; Tmin,0 and Tmin,0 are converted and regressed minimum air temperature (◦C) at sea level, respectively; DEM is the digital elevation (m) averaged to the best window scale; LST is the average MODIS LST (◦C) within the best window scale; a and b are the regression coefficients that are determined by fitting a least squares regression. The estimated Tmin based on the average reconstructed LST values at the best pixel- window scale in this study was validated with Tmin observations at ground meteorological stations. Three statistics, including R2, MAE, and RMSE were computed to evaluate the method used for estimating Tmin. Additionally, the normalized RMSE (NRMSE) and the Nash–Sutcliffe model efficiency (EF) were also used to indicate how well the simulated values were consistent with the observed data. The simulation is considered excellent with NRMSE < 10%, good if 10–20%, acceptable if 20–30%, and poor > 30% [47]. Meanwhile, EF = 1, corresponds to a perfect match of the model to the observed data. EF = 0, indicates Remote Sens. 2021, 13, 1177 7 of 22 Remote Sens. 2021, 13, x FOR PEER REVIEW 7 of 23

that the model estimations are as accurate as the mean of the observed data. If the EF is negative, it denotes that the observed mean is better than the model estimation [48,49].

3.4.to Indicatorsthe best of SFD window for Tea Plants scale; LST is the average MODIS LST (°C) within the best window scaleAgrometeorological; a and b are disasterthe regression indicators are coefficients the basis of damage that studies are fordetermined identifying by fitting a least squares the onset time, monitoring the spatial scope, predicting the extent, and evaluating the impactsregression. of disasters [50,51]. These indicators vary with disaster types and crop varieties.

FigureFigure 2. The 2. pipelineThe pipeline and minimum and air minimum temperature (Tairmin temperature) estimation method. (Tmin The input) estimation data method. The input data includes meteorological data (describes in Section 2.2.1), MODIS land surface temperature (LST) productsincludes (in Section meteorological 2.2.2), digital elevation data (describes model (DEM) (inin SectionSection 2.2.3 2),.2.1), and historical MODIS disaster land surface temperature (LST)

recordsproducts (in Section (in 2.2.4Section). The methodology2.2.2), digital concerns elevation Tmin estimation model is composed(DEM) by(in MODIS Section LST 2.2.3), and historical disaster reconstructionrecords (in (in Section Section 3.1 2),.2.4). best window The methodology scale selection (in concerns Section 3.2), TTminmin regression estimation model is composed by MODIS LST basedreconstruction on the standard (in lapse Section rate of air 3 temperature.1), best window (in Section 3.3scale), and selection indicators of(in spring Section frost 3.2), Tmin regression model damage (SFD) for tea plants (in Section 3.4). The characteristics of SFD for tea plants were exhibited based on the standard lapse rate ◦of air temperature0 (in Section 3◦.3), and indicators of spring frost in Section 4.4. Here, Tmin,0 is the converted Tmin ( C) at sea level, Tmin,0 is the regressed Tmin ( C) at 0 ◦ seadamage level, and (TSFDmin,d )is for the estimatedtea plants Tmin (in( C) Section at local elevation. 3.4). The characteristics of SFD for tea plants were exhibited in Section 4.4. Here, , is the converted Tmin (°C) at sea level, , is the regressed Tmin (°C) Low temperature is the prevailing factor affecting the degree of spring frost, but it is notat thesea sole level, factor. and Frost damage, is is alsothe theestimated result of continuousTmin (°C accumulation) at local elevation. of low tem- perature [52]. Therefore, the combination of low temperature intensity and duration is an effectiveThe way toestimated determine the Tmin impacts based of frost on damage the onaverage crop growth reconstructed [53]. Based on the LST values at the best pixel- window scale in this study was validated with Tmin observations at ground meteorolog- ical stations. Three statistics, including R2, MAE, and RMSE were computed to evaluate the method used for estimating Tmin. Additionally, the normalized RMSE (NRMSE) and the Nash–Sutcliffe model efficiency (EF) were also used to indicate how well the simulated values were consistent with the observed data. The simulation is considered excellent with NRMSE < 10%, good if 10–20%, acceptable if 20–30%, and poor > 30% [47]. Meanwhile, EF = 1, corresponds to a perfect match of the model to the observed data. EF = 0, indicates that the model estimations are as accurate as the mean of the observed data. If the EF is negative, it denotes that the observed mean is better than the model estimation [48,49].

Remote Sens. 2021, 13, 1177 8 of 22

daily Tmin values and their duration, previous research has divided SFD of tea plants into three levels (light, moderate, and severe, Table1)[ 54]. The indicators were effectively used to analyze the spatiotemporal distribution of SFD for Tea plants in southern Zhejiang [55] and its climatic characteristics in Zhejiang province in China [56]. Furthermore, Meng et al. took the spring frost process happened on 1 April 2019 as an example to evaluate the im- pacts of SFD on tea plants in Zhejiang province. The risk of SFD to tea plants was assessed temporally and spatially based on the SFD indicators and ground-based meteorological observations [57].

Table 1. Definitions of spring frost damage (SFD) levels for tea plants in the Middle and Lower Reaches of the Yangtze River region, China.

◦ Spring Frost Damage Daily Tmin ( C) Duration (d) 2–4 1–5 Light 0–2 1–3 2–4 ≥5 Moderate 0–2 3–5 0–2 ≥5 Severe ≤0 ≥1

4. Results 4.1. Selection of the Best Window Scale for MODIS LST

Comparison results between Tmin and average reconstructed LST values for each nighttime product and window scale showed that MYD11A1 products were better than Remote Sens. 2021, 13, x FOR PEER REVIEW MOD11A1 with higher R2 and lower RMSE and MAE. Furthermore, as pixel-window9 of 23 2 numbers increased, the R between Tmin and reconstructed LST values exhibited the char- acteristics of a slightly increase first and then decrease for MYD11A1 products (Figure3 ). The best correlation occurred when the window scale was 3 × 3. Previous research showed MYD11A1 are higherthat than a MODIS the minimum objective geolocation air temperatures accuracy ofobserved 150 m at nadirat local view, meteorologi- and its geolocation cal stations, and LSTerrors derived were evenfrom larger MOD11A1 at an off-nadir is higher view [ 58than]. Therefore, from MYD11A1 there may be because some geolocation of the difference in overpassoffset at times the central of the pixel two for satellites. each meteorological As a result, station. the LST Additionally, nighttime some prod- heteroge- neous land surface with sharpening temperature in a larger window scale (such as 9 × 9 uct derived from MYD11A1 and the 3 × 3 pixel window is a better proxy for daily mini- and 11 × 11) may also exist. These two situations can cause relatively lower correlations mum air temperature.between This Tresultmin and is average consistent reconstructed with previous LST values research at the corresponding [59]. window scale.

0.60 0.79 7.60 5.50 5.60 4.20 a. R2 b. RMSE(℃) c. MAE(℃) 7.56 5.46 5.56 4.16 0.59 0.78

7.52 5.42 5.52 4.12 0.58 0.77 7.48 5.38 5.48 4.08 MYD11A1 MYD11A1 MYD11A1 MOD11A1 MOD11A1 MOD11A1

0.57 0.76 MOD11A1 7.44 MOD11A1 5.34 5.44 MOD11A1 4.04 MYD11A1 MYD11A1 MYD11A1 0.56 0.75 7.40 5.30 5.40 4.00 1×1 3×3 5×5 7×7 9×9 11×11 1×1 3×3 5×5 7×7 9×9 11×11 1×1 3×3 5×5 7×7 9×9 11×11 pixel-window scale pixel-window scale pixel-window scale FigureFigure 3. 3.Comparison Comparison results results (a). The(a). coefficient the coefficient of determination of determination (R2); (b). ( TheR2); root (b). mean the root square mean error square (RMSE); (cerror). The mean(RMSEabsolute); (c). the error mean (MAE)) absolute between error minimum (MAE) air) temperaturesbetween minimum (Tmin) and air reconstructed temperatures land (Tmin) surface and tem- peraturereconstructed (LST) values land from surface MOD11A1 temperature and MYD11A1 (LST) nighttime values products from at MOD11A1 different pixel-window and MYD11A1 scales in nighttime the Middle andproducts Lower Reaches at different of the Yangtze pixel-window River region, scales China. in the Middle and Lower Reaches of the Yangtze River region, China. The RMSE and MAE values computed for both MOD11A1 and MYD11A1 increased linearly with increasing pixel-window scales (Figure3). The minimum MAE occurred at 4.2. Characteristics ofthe Temperature 1 × 1 and 3 ×from3 window March scales to April for the two MODIS nighttime LST products. When com- 4.2.1. Annual Dynamicsparing of the Daily two MODIS Tmin nighttimeand LST LST products, MYD11A1 obtained from the Aqua satellite was much better than MOD11A1 obtained from the Terra satellite. The values of R2 were Temporal dynamics0.7819 forof MYD11A1daily Tmin and and 0.5961 reconstructed for MOD11A1 forMYD11 the 1 ×A11 window nighttime size ( FigureLST at3 ).3 The× rea- 3 window scale over all stations in the MLRYR from March to April in 2003–2018 are shown in Figure 4. Generally, both LST and Tmin exhibited a fluctuating increasing trend within each year. Temperatures were generally lower in early March and higher in late April. Similar to the results of other studies, Tmin was higher than MODIS LST [30] with a negative bias of −2.6 °C. The reasons for this difference are likely related to the intensity of solar radiation. Solar radiation heated the ground surface in spring is not very obvious due to the large soil heat capacity and low temperature accumulation.

Figure 4. Temporal dynamics of daily minimum air temperature (Tmin) and land surface temperature (LST, from the reconstructed MYD11A1 MODIS LST) from March to April in 2003–2018 over 163 stations in the middle and lower reaches of the Yangtze River region, China.

4.2.2. Daily Dynamics of Average Tmin and LST In order to further investigate the relationship of MYD11A1 nighttime reconstructed LST values to daily minimum air temperature, the daily Tmin and LST were averaged over all stations from March to April in 2003–2018. The time series curves of daily MYD11A1 nighttime reconstructed LST values and minimum air temperature are shown in Figure 5. Affected by long-term cloudy contamination, such as more than eight days [39], some LST values were not still able to be effectively reconstructed. Therefore, daily calculated sample numbers of LST values are different and they were also shown in the form of a histogram in Figure 5. Tmin and LST averaged over more than 2000 samples generally increased with time, and Tmin values were higher than LST values. The average

Remote Sens. 2021, 13, x FOR PEER REVIEW 9 of 23

MYD11A1 are higher than the minimum air temperatures observed at local meteorologi- cal stations, and LST derived from MOD11A1 is higher than from MYD11A1 because of the difference in overpass times of the two satellites. As a result, the LST nighttime prod- uct derived from MYD11A1 and the 3 × 3 pixel window is a better proxy for daily mini- mum air temperature. This result is consistent with previous research [59].

0.60 0.79 7.60 5.50 5.60 4.20 Remote Sens. 2021, 13, 1177 a. R2 b. RMSE(℃) c. MAE(℃) 9 of 22 7.56 5.46 5.56 4.16 0.59 0.78

7.52 5.42 5.52 4.12 0.58 0.77 7.48 5.38 5.48 4.08 MYD11A1 MYD11A1 MYD11A1 MOD11A1 MOD11A1 MOD11A1 sons0.57 for this difference may0.76 be related to the differences in satellite overpass times [30]. MOD11A1 7.44 MOD11A1 5.34 5.44 MOD11A1 4.04 As mentionedMYD11A1 previously, during the nighttime,MYD11A1 the overpass times of Terra andMYD11A1 Aqua 0.56 0.75 7.40 5.30 5.40 4.00 are 10:301×1 pm3×3 5×5 and7×7 1:309×9 11×11 am, respectively.1×1 3×3 In5×5 fact,7×7 daily9×9 11×11 minimum air1×1 temperature3×3 5×5 7×7 9×9 generally11×11 pixel-window scale pixel-window scale pixel-window scale occurs around sunrise. Therefore, the LST nighttime values from MOD11A1 and MYD11A1 areFigure higher 3. Comparison than the minimum results (a). air the temperatures coefficient of determination observed at local (R2); meteorological(b). the root mean stations, square anderror LST (RMSE derived); (c). the from mean MOD11A1 absolute error is higher (MAE) than) between from MYD11A1minimum air because temperatures of the difference(Tmin) and inreconstructed overpass times land of surface the two temperature satellites. (LST) As a result, values the from LST MOD11A1 nighttime and product MYD11A1 derived nighttime from MYD11A1products at anddifferent the 3 pixel× 3- pixelwindow window scales isin athe better Middle proxy and for Lower daily Reaches minimum of the air Yangtze temperature. River region, China. This result is consistent with previous research [59].

4.2.4.2. Characteristics of Temperature fromfrom MarchMarch toto AprilApril 4.2.1. Annual Dynamics of Daily TTminmin and and LST LST

Temporal dynamicsdynamics of of daily daily T Tminmin and and reconstructed reconstructed MYD11A1 MYD11A1 nighttime nighttime LST LST at 3at× 3 3× window3 window scale scale over over all stations all stations in the in MLRYR the MLRYR from fromMarch March to April to in April 2003–2018 in 2003 are–2018 shown are inshown Figure in4 Figure. Generally, 4. Generally, both LST both and LST T min andexhibited Tmin exhibited a fluctuating a fluctuating increasing increasing trend within trend eachwithin year. each Temperatures year. Temperatures were generally were generally lower inlower early in March early March and higher and higher in late in April. late SimilarApril. S toimilar the results to the ofresults other of studies, other studies, Tmin was Tmin higher was than higher MODIS than LST MODIS [30] with LST a [ negative30] with biasa negative of −2.6 bias◦C. of The −2.6 reasons °C. The for reasons this difference for this difference are likely are related likely to related the intensity to the intensity of solar radiation.of solar radiation. Solar radiation Solar radiation heated theheated ground the ground surface surface in spring in isspring not very is not obvious very obviou due tos thedue large to the soil large heat soil capacity heat capacity and low and temperature low temperature accumulation. accumulation.

FigureFigure 4.4. Temporal dynamics of daily minimum air temperature (Tmin) (Tmin) andand landland surfacesurface temperaturetemperature (LST,(LST, fromfrom thethe reconstructedreconstructed MYD11A1MYD11A1 MODISMODIS LST)LST) fromfrom MarchMarch toto AprilApril inin 2003–20182003–2018 overover 163163 stationsstations inin thethe middlemiddle andand lowerlower reachesreaches ofof thethe YangtzeYangtze RiverRiver region,region, China.China.

4.2.2. Daily Dynamics of Average TTminmin and and LST LST In order toto furtherfurther investigateinvestigate thethe relationshiprelationship ofof MYD11A1MYD11A1 nighttimenighttime reconstructedreconstructed LST valuesvalues toto dailydaily minimum minimum air air temperature, temperature, the the daily daily Tmin Tminand and LST wereLST were averaged averaged over allover stations all stations from March from toMarch April to in April 2003–2018. in 2003 The–2018. time The series time curves series of daily curves MYD11A1 of daily nighttimeMYD11A1 reconstructed nighttime reconstructed LST values LST and minimumvalues and air minimum temperature air temperature are shownin areFigure shown5 . Affectedin Figure by 5. long-termAffected by cloudy long- contamination,term cloudy contaminati such as moreon, thansuch eight as more days than [39], eight some days LST values[39], some were LST not values still able were to be no effectivelyt still able reconstructed. to be effectively Therefore, reconstructed. daily calculated Therefore, sample daily numberscalculated of sample LST values numbers are different of LST values and they are were different also shownand they in thewere form also of shown a histogram in the inform Figure of a5 .Thistogramin andm LSTin Figure averaged 5. Tmin over and more LST than averaged 2000 samples over more generally than increased 2000 samples with time,generally and increased Tmin values with were time, higher and thanTmin LST values values. were The higher average than differenceLST values. between The average Tmin and LST was 2.56 ◦C, with maximum and minimum differences of 4.39 ◦C and 1.19 ◦C, respectively. Although temperature mostly increased with time from March to April, cooling periods sometimes occurred. The majority of these cooling periods appear to occur

in mid-to-late March and early April, and therefore will have an important impact on tea plant production. Remote Sens. 2021, 13, x FOR PEER REVIEW 10 of 23

difference between Tmin and LST was 2.56 °C, with maximum and minimum differences of 4.39 °C and 1.19 °C, respectively. Although temperature mostly increased with time

Remote Sens. 2021, 13, 1177 from March to April, cooling periods sometimes occurred. The majority of these coolin10 of 22g periods appear to occur in mid-to-late March and early April, and therefore will have an important impact on tea plant production.

FigureFigure 5. Daily dynamics of average MYD11A1 nighttime reconstructed land surface temperature (LST)(LST) and and minimum minimum air air temper temperatureature (Tmin) (Tmin) from from March March to to April April in in 2003 2003–2018–2018 over over all allstations stations in thein themiddle middle and and lower lower reaches reaches of the of Yangtze the Yangtze River River region, region, China. China. Sample Sample numbers numbers are the arerecon- the structedreconstructed LST amounts LST amounts in daily in averaging daily averaging calculations, calculations, and they and are they shown are in shown the histogram in the histogram with the rightwith they-axis. right y-axis.

4.2.3.4.2.3. Spatial Spatial Distribution Distribution of of Extreme Extreme Tmin Tmin TheThe extreme extreme minimum minimum air air temperatures f fromrom March to April in 2003–20182003–2018 at each meteorologicalmeteorological station station in in the the MLRYR were extracted, and temperature contour lines are shownshown in FigureFigure6 .6. From From Figure Figure6, we6, canwe cansee that see thethat extreme the extreme T min Tminvalues values were not were higher not ◦ higherthan 0 thanC, showing0 °C, showing that the that risk the of risk SFD of duringSFD during the past the past two two decades decades was was distributed distrib- ◦ utedacross across the entire the entire MLRYR MLRYR region. region. Spatially, Spatially, the areas the with areas the with lowest the extremelowest extreme Tmin (− Tmin4 C), (denoted−4 °C), denoted by the darkby the blue dark line blue (Figure line (6Figure), were 6), found were mainlyfound mainly in the northeasternin the northeastern parts partsof the of study the study area (Jiangsuarea (Jiangsu and Anhui and Anhui provinces). provinces). Regions Regions with with the highest the highest extreme extreme Tmin ◦ Tmin(0 C) (0 were °C) very were small very and small were and only were observed only observed in the southwestern in the southwestern part of the part MLRYR. of the ◦ MLRYR.The extreme The Textrememin values Tmin around values− 2aroundC were −2the °C mostwere widelythe most distributed widely distributed values observed values in the MLRYR, and occurred in the entire Hubei Province, and almost all of Zhejiang, Remote Sens. 2021, 13, x FOR PEER REVIEWobserved in the MLRYR, and occurred in the entire Hubei Province, and almost11 all of of23 Zhejiang,Jiangxi, and Jiangxi, Hunan and Provinces. Hunan Generally, Provinces. the Generally, contour linesthe contour of extreme lines Tmin of were extreme observed Tmin ◦ ◦ wereto gradually observed increase to gradually from − increase4 C in thefrom northeast −4 °C in tothe 0 northeastC in the southwest.to 0 °C in the southwest.

Figure 6. Spatial distribution of of extreme extreme minimum minimum air air temperature temperature (Tmin) (T ) from from March March to to April April in in min 2003–20182003–2018 overover the middlemiddle andand lowerlower reachesreaches ofof thethe YangtzeYangtze RiverRiver region,region,China. China.

4.3. Performance of the Tmin Estimation Model 4.3.1. Validation of the Tmin Estimation Model After the three-step process described in Section 3.3, the Tmin estimation model was established based on MODIS reconstructed LST of nighttime MYD11A1 and digital eleva- tion data in the MLRYR. The scatter plot of observed Tmin at ground meteorological sta- tions and Tmin simulated by the established estimation model is displayed in Figure 7. The rainbow colors in the figure show the distribution of the number of samples. Points in warm colors (red, orange) indicate more samples, and cool colors (blues) denote fewer samples. In order to assess the performance of the Tmin estimation model, the three sta- tistics were calculated between 145,210 observed Tmin samples and their corresponding simulated values. The results showed that the R2 value between observed and simulated Tmin was 0.841, much higher than those obtained by different window scales for MYD11A1 nighttime LST products (Figure 3). Similarly, the Tmin estimation model had a lower MAE (1.66 °C) than the MAE values produced by the MYD11A1 nighttime LST products (4.05–5.51 °C). The RMSE values resulting from the Tmin estimation model were also significantly lower than the previously calculated RMSE values (2.15 °C versus 5.37– 7.58 °C). Further evaluation for the Tmin estimation model was done by using with NRMSE and EF. Results showed that NRMSE and EF were 25.4% and 0.12, also indicating the model was acceptable.

Remote Sens. 2021, 13, 1177 11 of 22

4.3. Performance of the Tmin Estimation Model 4.3.1. Validation of the Tmin Estimation Model

After the three-step process described in Section 3.3, the Tmin estimation model was es- tablished based on MODIS reconstructed LST of nighttime MYD11A1 and digital elevation data in the MLRYR. The scatter plot of observed Tmin at ground meteorological stations and Tmin simulated by the established estimation model is displayed in Figure7 . The rainbow colors in the figure show the distribution of the number of samples. Points in warm colors (red, orange) indicate more samples, and cool colors (blues) denote fewer samples. In order to assess the performance of the Tmin estimation model, the three statistics were calcu- lated between 145,210 observed Tmin samples and their corresponding simulated values. 2 The results showed that the R value between observed and simulated Tmin was 0.841, much higher than those obtained by different window scales for MYD11A1 nighttime ◦ LST products (Figure3). Similarly, the T min estimation model had a lower MAE (1.66 C) than the MAE values produced by the MYD11A1 nighttime LST products (4.05–5.51 ◦C). The RMSE values resulting from the Tmin estimation model were also significantly lower than the previously calculated RMSE values (2.15 ◦C versus 5.37–7.58 ◦C). Further evalua- tion for the Tmin estimation model was done by using with NRMSE and EF. Results showed that NRMSE and EF were 25.4% and 0.12, also indicating the model was acceptable.

4.3.2. Difference of Tmin between Observations and Simulations

The differences between observed and simulated Tmin were quantified for the entire study area in 2003–2018 by analyzing the distribution shape of the differences. The fre- quency histogram of these Tmin differences, as well as the accuracy (median, mean, skew- ness, and kurtosis) are shown in Figure8. The global distribution of the T min differences was centered at 0.09 ◦C, and the median was slightly left-shifted with a value of −0.52 ◦C. The frequency distribution of T differences was observed to be bell shaped. Both skew- Remote Sens. 2021, 13, x FOR PEER REVIEW min 12 of 23 ness and kurtosis were greater than zero, indicating a positively skewed distribution with a steep peak.

Figure 7. 7. ScatterScatter plot plot of of simulated simulated and and observed observed minimum minimum air temperature air temperature values values (Tmin ) (Tmin) from March from Marchto April to in April 2003–2018 in 2003 in–2018 the middle in the middle and lower and reaches lower reaches of the Yangtze of the Yangtze River region, River China.region, China. 4.3.3. Performance of the T Estimation Model in Grouped Latitude and Altitude 4.3.2. Difference of Tmin betweenmin Observations and Simulations The performance of the T estimation model was evaluated through computing The differences between observedmin and simulated Tmin were quantified for the entire the R2 in different latitudes and altitudes by grouping 163 ground meteorological stations. study area in 2003–2018 by analyzing the distribution shape of the differences. The fre- The latitude at about 0.5◦N interval and the altitude at 200 m interval were grouped quency histogram of these Tmin differences, as well as the accuracy (median, mean, skew- separately. The variance plots of R2 along with latitude and altitude were shown in ness, and kurtosis) are shown in Figure 8. The global distribution of the Tmin differences Figure9a,b. The quartiles of all R 2 values in different latitudes between observed and was centered at 0.09 °C, and the median was slightly left-shifted2 with a value of −0.52 °C. simulated Tmin were between 0.70 and 0.95, and the median R showed a slightly fluctuant The frequency distribution of Tmin differences was observed to be bell shaped. Both skewness and kurtosis were greater than zero, indicating a positively skewed distribution with a steep peak.

Figure 8. Frequency distribution of differences between observed and simulated minimum air temperatures (Tmin) from March to April in 2003–2018 in the middle and lower reaches of the Yangtze River region, China.

4.3.3. Performance of the Tmin Estimation Model in Grouped Latitude and Altitude

Remote Sens. 2021, 13, x FOR PEER REVIEW 12 of 23

Figure 7. Scatter plot of simulated and observed minimum air temperature values (Tmin) from March to April in 2003–2018 in the middle and lower reaches of the Yangtze River region, China. Remote Sens. 2021, 13, 1177 12 of 22 4.3.2. Difference of Tmin between Observations and Simulations The differences between observed and simulated Tmin were quantified for the entire decreasing trend with the increasing of latitude (Figure9a). The minimum R 2 appeared in studythe latitude area between in 2003 30– and2018 30.5 by◦ N, analyzing with the value the of distribution being less than 0.1.shape The majorityof the differences. The fre- quencyreason for histogram such a low R2 ofmay these be the Tmin high altitude,differences, where theas altitudewell as is the more accuracy than 1000 m.(median, mean, skew- 2 ness,Meanwhile, and kurtosis) the R values are in shown different altitudesin Figure were 8. alsoThe exhibited global indistribution Figure9b, and of it the Tmin differences similarly showed the declining characteristics with the elevated altitude. The minimum R2, wasthe minimum centered quartile, at 0.09 and ° theC, and minimum the median all was appeared slightly in the left high-altitude-shifted areaswith a value of −0.52 °C. Theabove frequency 1000 m. Fortunately, distribution the tea gardens of Tmin were mostly differences distributed was in hills observed and mountains to be bell shaped. Both 2 skewnesswith an altitude and of kurtosis being 200–1000 were m,greater and the than R values zero, were indicating greater than a positively 0.65 except skewed distribution for the altitude between 600 and 800 m. For the higher mountains with the altitude of withabove 1000a steep m, recommended peak. lapse rates in different altitudes and aspects can be found in Meteorological Industry Standard [26].

Figure 8. Frequency distribution of differences between observed and simulated minimum air Figure 8. Frequency distribution of differences between observed and simulated minimum air temperatures (Tmin) from March to April in 2003–2018 in the middle and lower reaches of the Yangtze temperaturesRiver region, China. (Tmin) from March to April in 2003–2018 in the middle and lower reaches of the Yangtze River region, China. 4.4. Characteristics of SFD for Tea Plants in a Typical Frost Year 4.4.1. Temporal Characteristics of T for a Typical Cooling Period 4.3.3. Performance of the Tminmin Estimation Model in Grouped Latitude and Altitude Average Tmin over the MLRYR from March to April in 2006 tended to increase grad- ually over time, with occasional periods of sharp decreases followed by rapid increases (Figure 10). The “Yearbook of Meteorological Disasters in China” (2007) [46] recorded the following observations: “The cold air was more active in the spring of 2006. From March to April, most regions of China were hit by cold waves from north to south. The tem- perature at nine individual stations dropped more than 12 ◦C (data not shown in our Figure 10). The minimum air temperature in the central and northern regions of Yangtze River dropped to about 0 ◦C. The lower temperatures were detrimental to the normal growth of overwintering crops and some early spring crops, such as early rice and tea plants, and those crops suffered frost damage.” Remote Sens. 2021, 13, x FOR PEER REVIEW 13 of 23

The performance of the Tmin estimation model was evaluated through computing the R2 in different latitudes and altitudes by grouping 163 ground meteorological stations. The latitude at about 0.5°N interval and the altitude at 200 m interval were grouped sep- arately. The variance plots of R2 along with latitude and altitude were shown in Figure 9a,b. The quartiles of all R2 values in different latitudes between observed and simulated Tmin were between 0.70 and 0.95, and the median R2 showed a slightly fluctuant decreas- ing trend with the increasing of latitude (Figure 9a). The minimum R2 appeared in the latitude between 30 and 30.5° N, with the value of being less than 0.1. The majority reason for such a low R2 may be the high altitude, where the altitude is more than 1000 m. Mean- while, the R2 values in different altitudes were also exhibited in Figure 9b, and it similarly showed the declining characteristics with the elevated altitude. The minimum R2, the min- imum quartile, and the minimum median all appeared in the high-altitude areas above 1000 m. Fortunately, the tea gardens were mostly distributed in hills and mountains with an altitude of being 200–1000 m, and the R2 values were greater than 0.65 except for the altitude between 600 and 800 m. For the higher mountains with the altitude of above 1000 Remote Sens. 2021, 13, 1177 m, recommended lapse rates in different altitudes and aspects can be13 found of 22 in Meteoro- logical Industry Standard [26].

Remote Sens. 2021, 13, x FOR PEER REVIEW 14 of 23

dropped to about 0 °C. The lower temperatures were detrimental to the normal growth of overwintering crops and some early spring crops, such as early rice and tea plants, and those crops suffered frost damage.” The temporal dynamics of Tmin over the MLRYR (Figure 10) showed two significant cooling periods around mid-March and mid-April. Several other periods of small fluctu- ations in Tmin were also observed from March to April (Figure 10). The two significant cooling periods occurring around mid-March and mid-April, and one slightly cooling pe- riod appearing at the end of March were mentioned in the "Yearbook of Meteorological Disasters in China" (2007) [46]. The percentage of meteorological stations with daily Tmin less than 4 °C (referred to as station ratio in Figure 10) displayed three small peaks (ex- cluding the2 first three days of the record shown). The first cooling period in mid-March Figure 9. The box plots of R between2 observed and estimated minimum air temperature (Tmin) Figure 9. The boxwas plotsthe most of significant,R between when observed more tha nand 60% estimated of the stations minimum reported Tminair tempera less thanture 4 (Tmin) grouped 163 ground meteorological stations by latitude (a) and altitude (b) at 0.5◦ N and 200 m inter- grouped 163 ground°C for three meteorological consecutive days. stations Even though by latitude the temperature (a) and dropped altitude significantly (b) at 0.5 during° N and 200 m val separately. The upper and lower boundaries in the gray box represent the 25 and 75 percentiles, interval separately.the third The cooling upper period and lower(mid-April), boundaries the percentage in the of gray meteorological box represent stations the that 25 had and 75 per- the solid line in thedaily gray Tminbox represents below the the threshold medians, of and SFD solid (4° triangles) was not and high diamonds (<15%) at due the to ends the of relatively centiles, the solid line in the gray box represents2 the medians, and solid triangles and diamonds at the whiskers representhigher the temperatures minimum and in the maximum previous R days.values, respectively. the ends of the whiskers represent the minimum and maximum R2 values, respectively.

4.4. Characteristics of SFD for Tea Plants in a Typical Frost Year 4.4.1. Temporal Characteristics of Tmin for a Typical Cooling Period Average Tmin over the MLRYR from March to April in 2006 tended to increase grad- ually over time, with occasional periods of sharp decreases followed by rapid increases (Figure 10). The "Yearbook of Meteorological Disasters in China" (2007) [46] recorded the following observations: “The cold air was more active in the spring of 2006. From March to April, most regions of China were hit by cold waves from north to south. The temper- ature at nine individual stations dropped more than 12 °C (data not shown in our Figure 10). The minimum air temperature in the central and northern regions of Yangtze River

Figure Figure10. Temporal 10. Temporal dynamics dynamicsof average ofminimum average air minimum temperatures air temperatures(Tmin) over the (TMiddlemin) over and Lower the Middle Reaches and of the YangtzeLower River Reaches(MLRYR) ofregion, the Yangtze China from River Marc (MLRYR)h to April region, in 2006 China (left fromy-axis). March The black to April error in bars 2006 denote (left y maximum-axis). and minimumThe black values error at bars163 ground denote meteorological maximum and stations. minimum The hollow, values blue at 163-outlined ground histogram meteorological bars (right stations. y-axis) are the percentage of MLRYR stations with daily Tmin less than 4 °C (refer to station ratio, denotes the percentage of meteor- The hollow, blue-outlined histogram bars (right y-axis) are the percentage of MLRYR stations with ological stations with daily Tmin less than 4 °C). ◦ daily Tmin less than 4 C (refer to station ratio, denotes the percentage of meteorological stations with ◦ daily Tmin less than4.4.2. 4 C). Spatial Distribution of Daily Minimum Air Temperature in Three Cooling Periods The spatial distributions of simulated daily Tmin during three cooling periods in The temporal dynamics of T over the MLRYR (Figure 10) showed two significant March and April 2006min are shown in Figures 11–13. The first cooling period appeared on cooling periods around10–14 March mid-March 2006. The and "Yearbook mid-April. of Meteorological Several other Disasters periods in of China small" fluctu-(2007) [46] rec- orded: “A strong cold wave occurred on 10–14 March 2006. The temperature dropped by 12–18 °C during March 11–13, and snow appeared in more than 22 counties distributed in Yichun, Xinyu, Ji’an, Fuzhou, and Jiujiang cities in Jiangxi Province. This strong cooling process caused 119,000 hm2 of crops to be damaged, and its direct agricultural economic losses were more than 100 million RMB in Jiangxi Province. Meanwhile, in the northeast- ern part of Anhui Province, the minimum air temperature of Bozhou City dropped to −2 to −4 °C, and nearly 60,000 hm2 of crops suffered freezing damage.” Daily minimum air temperature simulated by the Tmin estimation model perfectly revealed the cooling pro- gression over this period (Figure 11). On March 10, frost damage sporadically appeared in the northern portion of the study area (Figure 11a). As the cold wave moved to the

Remote Sens. 2021, 13, 1177 14 of 22

ations in Tmin were also observed from March to April (Figure 10). The two significant cooling periods occurring around mid-March and mid-April, and one slightly cooling period appearing at the end of March were mentioned in the “Yearbook of Meteorologi- cal Disasters in China” (2007) [46]. The percentage of meteorological stations with daily ◦ Tmin less than 4 C (referred to as station ratio in Figure 10) displayed three small peaks (excluding the first three days of the record shown). The first cooling period in mid-March ◦ was the most significant, when more than 60% of the stations reported Tmin less than 4 C for three consecutive days. Even though the temperature dropped significantly during the third cooling period (mid-April), the percentage of meteorological stations that had ◦ daily Tmin below the threshold of SFD (4 ) was not high (<15%) due to the relatively higher temperatures in the previous days.

4.4.2. Spatial Distribution of Daily Minimum Air Temperature in Three Cooling Periods

The spatial distributions of simulated daily Tmin during three cooling periods in March and April 2006 are shown in Figures 11–13. The first cooling period appeared on 10–14 March 2006. The “Yearbook of Meteorological Disasters in China” (2007) [46] recorded: “A strong cold wave occurred on 10–14 March 2006. The temperature dropped by 12–18 ◦C during March 11–13, and snow appeared in more than 22 counties distributed in Yichun, Xinyu, Ji’an, Fuzhou, and Jiujiang cities in Jiangxi Province. This strong cooling process caused 119,000 hm2 of crops to be damaged, and its direct agricultural economic losses were more than 100 million RMB in Jiangxi Province. Meanwhile, in the northeastern part of Anhui Province, the minimum air temperature of Bozhou City dropped to −2 to −4 ◦C, and nearly 60,000 hm2 of crops suffered freezing damage.” Daily minimum air temperature simulated by the Tmin estimation model perfectly revealed the cooling

Remote Sens. 2021progression, 13, x FOR PEER overREVIEW this period (Figure 11). On March 10, frost damage sporadically15 appeared of 23 in the northern portion of the study area (Figure 11a). As the cold wave moved to the south, the cooling intensity significantly increased, and the affected regions spatially enlarged from March 11south, to the March cooling 14 intensity (Figure significantly 11b–e). Allincreased regions, and inthe theaffected six regions cities spatially referred en- to in the “Yearbooklarged of Meteorological from March 11 toDisasters March 14 (Figure in China” 11b–e). (2007) All regions were in accuratelythe six cities referred identified to as suffering SFDin (Figure the "Yearbook 11d, administrativeof Meteorological Disasters boundaries in China marked" (2007) inwere green). accurately There identified were no as suffering SFD (Figure 11d, administrative boundaries marked in green). There were no disaster recordsdisaster for Marchrecords for 15 March in public 15 in reports.public reports. Correspondingly, Correspondingly, thethe regions regions suf sufferingfering from SFD werefrom significantly SFD were significantly reduced reduced compared compared with with several several days days earlier earlier (Figure (Figure 11f). 11 f). Tmin simulatedTmin with simulated the MODIS with the nighttime MODIS nighttime reconstructed reconstructed LST LST product product perfectly exhibited exhibited this cooling processthis cooling occurring process occurring over several over several days. days.

Figure 11.Figure Spatial 11. distribSpatialution distributionof simulated daily of simulated Tmin on 10 daily–15 March Tmin 2006on 10–15in the Middle March and 2006 Lower in the Reaches Middle of the and Lower Yangtze River region, China. Reaches of the Yangtze River region, China. The second cooling period occurred on 26–28 March 2006. The "Yearbook of Meteor- ological Disasters in China" (2007) [46] recorded: “On March 27−28, strong northerly winds occurred in parts of Jiangsu Province, and the maximum cooling range reached to 10 °C. On the evening of March 27, there were about 27 counties in Anhui Province that experienced strong winds and cooling process. The areas affected by this cooling process were up to 17,000 hm2, and its direct economic loss reached up to 130 million RMB.” Ac- cording to the disaster records, the regions affected by this cooling process were mainly in Anhui and Jiangsu Provinces. The spatial distribution of simulated daily Tmin from March 26 to 29 precisely exhibited this evolution process (Figure 12). From March 27 to 28, the cooling areas noticeably enlarged in Anhui and Jiangsu Provinces. Especially the counties identified by red boundaries (Figure 12b,c) in Anhui Province were exactly con- sistent with disaster records. The cooling period ended on March 29, and the regions in the MLRYR affected by SFD were almost gone.

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Figure 12. Spatial distribution of simulated daily Tmin on 26–29 March 2006 in the Middle and Lower FigureReaches 12. of Spatial the Yangtze distribution River region, of simulated China. daily Tmin on 26–29 March 2006 in the Middle and Lower Reaches of the Yangtze River region, China.

The last cooling period occurred on 10–15 April 2006. This cooling period affected Jiangsu and Hubei Provinces and was recorded in the "Yearbook of Meteorological Dis- asters in China" (2007) [46], as follows: “With the increase of temperature in April, there were fewer stations where the temperature dropped to the threshold for SFD to tea plant, and the impacted regions were also smaller.” There was only one day when the propor- tion of meteorological stations within the MLRYR with daily Tmin of less than 4 °C ex- ceeded 10% during this cooling period (Figure 10). The regions with simulated daily Tmin being no higher than 4 °C were scattered in the northern part of MLRYR (Figure 13), and these observations were consistent with the station ratio values demonstrating the limited areal extent of the damaging cold temperatures.

FigureFigure 13.13. SpatialSpatial distributiondistribution ofof simulatedsimulated dailydaily T Tminmin on on 10–15 10–15 April April 2006 2006 in in the th Middlee Middle and and Lower Lower Reaches Reaches of of the the Yangtze Yang- Rivertze River region, region, China. China. The second cooling period occurred on 26–28 March 2006. The “Yearbook of Mete- orological4.4.3. Spatial Disasters Distribution in China” of Different (2007) [Frost46] recorded: Damage “OnLevels March for Tea 27− Plants28, strong northerly windsBased occurred on the in s partspring offrost Jiangsu indicator Province, for tea and plants the in maximum the MLRYR cooling (Table range 1), the reached spatial ◦ todistributions 10 C. On theof SFD evening for tea of p Marchlants in 27, the there MLRYR were during about the 27 three counties cooling in Anhui periods Province in 2006 thatfor locations experienced identified strong as winds shrub andPFT coolingare shown process. in Figure The 14 areas. Overall, affected the impact by this of cooling spring 2 processfrost during were the up first to 17,000cooling hm period, and was its the direct greatest. economic The regions loss reached with severe up to spring 130 million frost, denoted by the dark blue color (Figure 14), were distributed mainly in the northern part of MLRYR. Areas categorized as having light SFD were relatively smaller and were con- centrated in the southern parts of Zhejiang Province, and central parts of Hunan and Jiangxi Provinces. There were almost no areas suffering moderate SFD. These areas were scattered in the border area of Jiangxi and Zhejiang Provinces. Although the area influ- enced by damaging frost was extensive during the first cooling period, there were still small regions located in the southern part of the study area that were not affected by SFD. The damaging effects of frost during the other two cooling periods were relatively smaller. The affected areas of SFD were mainly concentrated in the northwestern part of the study area. In particular, the regions affected by severe spring frost were found to be scattered in the northwestern part of the study region, corresponding to parts of the Daba Moun- tains and Wushan Mountains.

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RMB.” According to the disaster records, the regions affected by this cooling process were mainly in Anhui and Jiangsu Provinces. The spatial distribution of simulated daily Tmin from March 26 to 29 precisely exhibited this evolution process (Figure 12). From March 27 to 28, the cooling areas noticeably enlarged in Anhui and Jiangsu Provinces. Especially the counties identified by red boundaries (Figure 12b,c) in Anhui Province were exactly consis- tent with disaster records. The cooling period ended on March 29, and the regions in the MLRYR affected by SFD were almost gone. The last cooling period occurred on 10–15 April 2006. This cooling period affected Jiangsu and Hubei Provinces and was recorded in the "Yearbook of Meteorological Disasters in China" (2007) [46], as follows: “With the increase of temperature in April, there were fewer stations where the temperature dropped to the threshold for SFD to tea plant, and the impacted regions were also smaller.” There was only one day when the proportion of ◦ meteorological stations within the MLRYR with daily Tmin of less than 4 C exceeded 10% during this cooling period (Figure 10). The regions with simulated daily Tmin being no higher than 4 ◦C were scattered in the northern part of MLRYR (Figure 13), and these Figure 13. Spatial distribution of simulated daily Tmin on 10–15 April 2006 in the Middle and Lower Reaches of the Yang- tze River region, China. observations were consistent with the station ratio values demonstrating the limited areal extent of the damaging cold temperatures. 4.4.3. Spatial Distribution of Different Frost Damage Levels for Tea Plants 4.4.3. Spatial Distribution of Different Frost Damage Levels for Tea Plants Based on the spring frost indicator for tea plants in the MLRYR (Table 1), the spatial Based on the spring frost indicator for tea plants in the MLRYR (Table1), the spatial distributions of SFD for tea plants in the MLRYR during the three cooling periods in 2006 distributions of SFD for tea plants in the MLRYR during the three cooling periods in for2006 locations for locations identified identified as shrub as PFT shrub are PFT shown are in shown Figure in 14 Figure. Overall, 14. the Overall, impact the of impactspring frostof spring during frost the during first cooling the first period cooling wasperiod the greatest. was the The greatest. regions Thewith regions severe spring with severe frost, denotedspring frost, by the denoted dark blue by thecolor dark (Figure blue color14), were (Figure distributed 14), were mainly distributed in the mainlynorthern in part the ofnorthern MLRYR. part Areas of MLRYR. categorized Areas as categorized having light as havingSFD were light relatively SFD were smaller relatively and smaller were con- and centratedwere concentrated in the southern in the southern parts of parts Zhejiang of Zhejiang Province, Province, and central and central parts parts of Hunan of Hunan and Jiangxiand Jiangxi Provinces. Provinces. There There were werealmost almost no areas no areassuffering suffering moderate moderate SFD. These SFD. These areas areaswere scatteredwere scattered in the inborder the border area of area Jiangxi of Jiangxi and Zhejiang and Zhejiang Provinces. Provinces. Although Although the area the influ- area encedinfluenced by damaging by damaging frost frost was was extensive extensive during during the the first first cooling cooling period, period, there there were were still smsmallall regions located in the southern southern part part of of the the study study area area that that were were not not affected affected by by SFD. SFD. The damaging effects of frost frost during during the the other other two two cooling cooling periods periods were were relatively relatively smaller. smaller. The affected areas of SFD were mainly concentrated in the northwestern par partt of the study area. In particular, thethe regionsregions affectedaffected by by severe severe spring spring frost frost were were found found to to be be scattered scattered in inthe the northwestern northwestern part part of theof the study study region, region, corresponding corresponding to parts to parts of the of Dabathe Daba Mountains Moun- tainsand Wushan and Wushan Mountains. Mountains.

Figure 14. Spatial distribution of different frost damage levels during three cooling periods in 2006 in the Middle and Lower Reaches of the Yangtze River region, China.

5. Discussion and Limitations 5.1. Factors Influencing the Minimum Air Temperature Estimation Model The major weather-related hazard to tea plant production is SFD caused by low temperatures. Research regarding SFD to tea plants has been limited by the number Remote Sens. 2021, 13, 1177 17 of 22

of meteorological stations and their distribution. Temperature observations at ground meteorological stations are often difficult to monitor and evaluate precisely over a large spatial extent. Previous research mainly focused on the spatiotemporal distribution and risk assessment of SFD in provincial scale during several decades [23,60,61]. High-resolution impact assessment of SFD on tea plants over a large-scale region is hard to do based on ground-based meteorological observations. Remotely sensed land surface temperature products are one of the most suitable choices to monitor and evaluate the effects of SFD to tea plants. However, neither the Terra satellite nor the Aqua satellite had overpass times that corresponded to the time of lowest daily temperature, i.e., around sunrise. Therefore, it was necessary to develop a minimum air temperature estimation model based on high spatial resolution LST products. Although the validation results evaluated by R2, MAE, RMSE, NRMSE, and EF showed that the Tmin estimation model was reasonable and credible, there were still several limitations that restricted simulation accuracy.

5.1.1. Weather Conditions

One of the limitations of the Tmin estimation model was that the relationship between Tmin observations at ground meteorological stations and MODIS LST products retrieved from the generalized split window algorithm [43] was restricted by weather conditions. It is well documented that the soil emits longwave radiation energy during nighttime hours. During this radiative cooling process, the land surface temperature becomes lower and lower. Longwave radiation energy emitted by the soil is affected by the processes of thermal conduction and water phase change before sunrise [62]. The minimum air temperature appears around sunrise when the thermal energy emitted by the ground surface is balanced by incoming solar radiation. In actuality, the longwave radiation energy emitted from soil will vary with weather conditions, such as sunny, cloudy, and rainy days. The MODIS LST products were retrieved under clear-sky conditions [63]. Therefore, the minimum air temperature estimated based on nighttime LST products, theoretically, may have small underestimation or overestimation errors due to the influence of weather conditions.

5.1.2. Land Cover Types

Another limitation of the Tmin estimation model was that the impacts of land cover type and their components on minimum air temperature in mixed pixels were not consid- ered. Previous studies have shown that the diurnal temperature variation of component temperatures for different land cover types were distinct, especially for different fractional vegetation cover [59,64,65]. In this study, the land cover types surrounding meteorological stations were not considered either at 1-km scale (central pixel for MODIS LST products) or at 3-km (3 × 3 pixels) scale. Although ground meteorological stations and their surround- ings were covered by grassland in China, fields are fragmented in the MLRYR, and their land cover types are diverse over more than 1-km scale. There may exist large numbers of mixed pixels in tea planting areas, even at a spatial resolution of 1 km. Furthermore, some uncertainties with regard to Tmin estimation will be inevitable because of the variation of the diurnal temperature range due to the combined effects of vegetation cover fraction, land cover types, and soil moisture [59,66].

5.1.3. DEM

An additional limitation of the Tmin estimation model was that the effects of el- evation on minimum air temperature were not considered. Turbulent exchange de- pends largely on the changes of terrain. Compared with flat and concave land areas, convex land areas have greater air movement and strong turbulent exchange. There- fore, temperatures can fall more rapidly after sunset than temperatures over flat and concave lands (Means, Tiffany. “Understanding Diurnal Temperature Range.” httpa: //thoughtco.com/diurnal-temperature-range-3444244. Last visited on 26 August 2020). As such, the diurnal temperature variation was different over different terrain conditions. Tea plantations in MLRYR are mainly located in hilly areas with gentle slope. The impacts of Remote Sens. 2021, 13, 1177 18 of 22

DEM, theoretically, on SFD for tea plants were relatively limited. Even though, more work should be done in the future to improve the Tmin estimation accuracy by considering the impacts of aspect on Tmin.

5.2. Indicators of SFD for Tea Plants Damage indicators are the basis for monitoring disaster, forecasting risk, and eval- uating impact. Previous studies have classified SFD to tea plants into three categories according to data sources: morphological indicators, physiological indicators, and meteo- rological indicators. Moreover, meteorological indicators can be further subdivided into daily scale and hourly scale indicators based on the meteorological data availability [67]. In this study, minimum air temperatures at daily scale were used to study SFD to tea plants. This indicator was established based on the dynamic process of frost damage rate [54], taking Longjing 43 (a kind of shrub tea plant with medium and small leaves) as an example. Actually, a similar spring frost process may result in different damage levels for different tea varieties. Therefore, more work should be done to refine the indicators of SFD for more tea varieties, more tea leaf shapes, and more complex terrain. Fortunately, shrub tea plants with medium and small leaves are the dominant type of tea plants in the MLRYR. We believe that the indicator used in this study was suitable for evaluating spatiotemporal characteristics of SFD to tea plants in the MLRYR. In terms of the time scale of the indicators, meteorological industry standards [26] have established the indicator of SFD for medium and small leaf tea plants based on hourly Tmin and its duration. Hourly scale indicators of SFD have been successfully used to quantitatively evaluate the impacts of SFD on tea plants in Quzhou city, Zhejiang Province. The evaluation results indicated that the individual cases of SFD from 2005 to 2015 were consistent with the actual disaster situation [68]. Tao et al. [69] evaluated the economic losses caused by the SFD to tea plants in northern Jiangxi Province in 2018 based on hourly scale indicators, which was also consistent with the actual disaster losses. From an application point of view, frost damage assessment over a small region requires finer indicators at tiny time scale and more refined temperature data at high spatial resolution. Consequently, hourly LST at high spatial resolution is essential in evaluating SFD over a small area. Research on reconstructing hourly LST data based on remotely sensed LST products will become the focus of follow-up work.

5.3. Tea Planting Area The MLRYR region, including six provinces and one municipality, was analyzed as a single area. The total land area in the MLRYR exceeds 1,010,000 km2, and the tea plantation area was only 10,541 km2 in 2019 [70], accounting for 1.04% of the total land area. However, the areas of shrub extracted by the PFT legend in the MODIS MCD12Q1 product accounted for 4.99% of the total area, and this was much higher than the proportion of the MLRYR planted to tea. Therefore, the spatial distribution of different SFD levels shown and discussed in Section 4.4.3 in this study may include other plants to some degree, such as Camellia oleifera Abel., Forsythia suspensa, Jasminum nudiflorum Lindl., and so on. In the previous studies, Google high-resolution satellite data was used to extract the refined tea plantations over a country [71]. If the study area is expanded to the municipal, provincial, or regional scale, it will become very difficult to preciously extract tea plantation. Almost all publications divided the regional frost levels over the whole study area, without marking the distribution of tea plantation [68,69]. Therefore, additional work should be done to exactly distinguish the tea plantation area in the future, so as to accurately monitor and objectively evaluate the impacts of SFD on tea plants.

6. Conclusions This study established a minimum air temperature estimation model based on MODIS nighttime reconstructed LST values and digital elevation, and further analyzed the spa- tiotemporal characteristics of SFD by referring to the indicators of SFD for tea plants in Remote Sens. 2021, 13, 1177 19 of 22

the MLRYR of China. Results showed that the best correlation between Tmin and two LST nighttime products at six window scales was found using the MYD11A1 product at the 3 × 3 pixel window, for which the R2, RMSE, and MAE were 0.782, 5.37 ◦C, and 4.05 ◦C, respectively. The Tmin estimation model used a very simple expression to achieve relatively ◦ ◦ accurate simulations. The RMSE and MAE of estimated Tmin were 2.15 C and 1.66 C, respectively, when using more than 100,000 observations at ground meteorological stations. The analysis in a typical frost year (2006) revealed that the estimated Tmin values closely aligned with written historical disaster records. The primary cooling periods recorded in the “Yearbook of Meteorological Disasters in China” were exactly identified, especially for several highlighted cities and counties during the first two cooling periods. This study confirmed that estimated Tmin based on MYD11A1 nighttime products and DEM is a useful way to monitor and evaluate SFD to tea plants in the MLRYR. The MODIS LST products are easy to obtain via EOSDIS and can be used to research and timely quantify SFD over a large spatial extent. The Tmin estimates in detailed temporal and spatial characteristics will be an important consideration for taking effective frost prevention measures at the appropriate time and precise region.

Author Contributions: Conceptualization, P.W. and Z.H.; methodology, P.W.; software and data curation, Y.M. and D.W.; validation, J.T., H.C. and Z.J.; writing—original draft preparation, P.W.; writing—review and editing, P.W.; funding acquisition, P.W. All authors have read and agreed to the published version of the manuscript. Funding: The research was financially supported by the National Key Research and Development Program of China (2019YFD1002203) and the National Natural Science Foundation of China (31771672). Informed Consent Statement: Informed consent was obtained from all subjects involved in the study. Data Availability Statement: All data used during the study area available at http://data.cma.cn/ site/index.html, https://earthdata.nasa.gov/ (accessed on 17 March 2021). Conflicts of Interest: The authors declare no conflict of interest.

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